38340864 has 135 divisors (see below), whose sum is σ = 117046083. Its totient is φ = 12483072.

The previous prime is 38340853. The next prime is 38340877. The reversal of 38340864 is 46804383.

The square root of 38340864 is 6192.

It is a perfect power (a square), and thus also a powerful number.

It is a super-3 number, since 3×38340864³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 891627 + ... + 891669.

Almost surely, 2^38340864 is an apocalyptic number.

38340864 is the 6192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38340864

38340864 is an abundant number, since it is smaller than the sum of its proper divisors (78705219).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38340864 is an frugal number, since it uses more digits than its factorization.

38340864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The cubic root of 38340864 is about 337.1997923024.

Multiplying 38340864 by its sum of digits (36), we get a square (1380271104 = 37152²).

38340864 divided by its sum of digits (36) gives a square (1065024 = 1032²).

It can be divided in two parts, 38340 and 864, that added together give a square (39204 = 198²).

The spelling of 38340864 in words is "thirty-eight million, three hundred forty thousand, eight hundred sixty-four".